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Simplifying (2a + -3b) * 5 + -1(6a + -2) = 0 Reorder the terms for easier multiplication: 5(2a + -3b) + -1(6a + -2) = 0 (2a * 5 + -3b * 5) + -1(6a + -2) = 0 (10a + -15b) + -1(6a + -2) = 0 Reorder the terms: 10a + -15b + -1(-2 + 6a) = 0 10a + -15b + (-2 * -1 + 6a * -1) = 0 10a + -15b + (2 + -6a) = 0 Reorder the terms: 2 + 10a + -6a + -15b = 0 Combine like terms: 10a + -6a = 4a 2 + 4a + -15b = 0 Solving 2 + 4a + -15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4a + -2 + -15b = 0 + -2 Reorder the terms: 2 + -2 + 4a + -15b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4a + -15b = 0 + -2 4a + -15b = 0 + -2 Combine like terms: 0 + -2 = -2 4a + -15b = -2 Add '15b' to each side of the equation. 4a + -15b + 15b = -2 + 15b Combine like terms: -15b + 15b = 0 4a + 0 = -2 + 15b 4a = -2 + 15b Divide each side by '4'. a = -0.5 + 3.75b Simplifying a = -0.5 + 3.75b
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