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Simplifying -0.95r + 0.15j + 0.25a + 0.6p + 0.96v + t = 0 Reorder the terms: 0.25a + 0.15j + 0.6p + -0.95r + t + 0.96v = 0 Solving 0.25a + 0.15j + 0.6p + -0.95r + t + 0.96v = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.15j' to each side of the equation. 0.25a + 0.15j + 0.6p + -0.95r + t + -0.15j + 0.96v = 0 + -0.15j Reorder the terms: 0.25a + 0.15j + -0.15j + 0.6p + -0.95r + t + 0.96v = 0 + -0.15j Combine like terms: 0.15j + -0.15j = 0.00 0.25a + 0.00 + 0.6p + -0.95r + t + 0.96v = 0 + -0.15j 0.25a + 0.6p + -0.95r + t + 0.96v = 0 + -0.15j Remove the zero: 0.25a + 0.6p + -0.95r + t + 0.96v = -0.15j Add '-0.6p' to each side of the equation. 0.25a + 0.6p + -0.95r + t + -0.6p + 0.96v = -0.15j + -0.6p Reorder the terms: 0.25a + 0.6p + -0.6p + -0.95r + t + 0.96v = -0.15j + -0.6p Combine like terms: 0.6p + -0.6p = 0.0 0.25a + 0.0 + -0.95r + t + 0.96v = -0.15j + -0.6p 0.25a + -0.95r + t + 0.96v = -0.15j + -0.6p Add '0.95r' to each side of the equation. 0.25a + -0.95r + t + 0.95r + 0.96v = -0.15j + -0.6p + 0.95r Reorder the terms: 0.25a + -0.95r + 0.95r + t + 0.96v = -0.15j + -0.6p + 0.95r Combine like terms: -0.95r + 0.95r = 0.00 0.25a + 0.00 + t + 0.96v = -0.15j + -0.6p + 0.95r 0.25a + t + 0.96v = -0.15j + -0.6p + 0.95r Add '-1t' to each side of the equation. 0.25a + t + -1t + 0.96v = -0.15j + -0.6p + 0.95r + -1t Combine like terms: t + -1t = 0 0.25a + 0 + 0.96v = -0.15j + -0.6p + 0.95r + -1t 0.25a + 0.96v = -0.15j + -0.6p + 0.95r + -1t Add '-0.96v' to each side of the equation. 0.25a + 0.96v + -0.96v = -0.15j + -0.6p + 0.95r + -1t + -0.96v Combine like terms: 0.96v + -0.96v = 0.00 0.25a + 0.00 = -0.15j + -0.6p + 0.95r + -1t + -0.96v 0.25a = -0.15j + -0.6p + 0.95r + -1t + -0.96v Divide each side by '0.25'. a = -0.6j + -2.4p + 3.8r + -4t + -3.84v Simplifying a = -0.6j + -2.4p + 3.8r + -4t + -3.84v
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