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Simplifying 0.05(t + -12) = 1.5t + -3 Reorder the terms: 0.05(-12 + t) = 1.5t + -3 (-12 * 0.05 + t * 0.05) = 1.5t + -3 (-0.6 + 0.05t) = 1.5t + -3 Reorder the terms: -0.6 + 0.05t = -3 + 1.5t Solving -0.6 + 0.05t = -3 + 1.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.5t' to each side of the equation. -0.6 + 0.05t + -1.5t = -3 + 1.5t + -1.5t Combine like terms: 0.05t + -1.5t = -1.45t -0.6 + -1.45t = -3 + 1.5t + -1.5t Combine like terms: 1.5t + -1.5t = 0.0 -0.6 + -1.45t = -3 + 0.0 -0.6 + -1.45t = -3 Add '0.6' to each side of the equation. -0.6 + 0.6 + -1.45t = -3 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -1.45t = -3 + 0.6 -1.45t = -3 + 0.6 Combine like terms: -3 + 0.6 = -2.4 -1.45t = -2.4 Divide each side by '-1.45'. t = 1.655172414 Simplifying t = 1.655172414
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