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Simplifying 4(2a + -1) + -3(a + -2) = 10a + -3 Reorder the terms: 4(-1 + 2a) + -3(a + -2) = 10a + -3 (-1 * 4 + 2a * 4) + -3(a + -2) = 10a + -3 (-4 + 8a) + -3(a + -2) = 10a + -3 Reorder the terms: -4 + 8a + -3(-2 + a) = 10a + -3 -4 + 8a + (-2 * -3 + a * -3) = 10a + -3 -4 + 8a + (6 + -3a) = 10a + -3 Reorder the terms: -4 + 6 + 8a + -3a = 10a + -3 Combine like terms: -4 + 6 = 2 2 + 8a + -3a = 10a + -3 Combine like terms: 8a + -3a = 5a 2 + 5a = 10a + -3 Reorder the terms: 2 + 5a = -3 + 10a Solving 2 + 5a = -3 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 2 + 5a + -10a = -3 + 10a + -10a Combine like terms: 5a + -10a = -5a 2 + -5a = -3 + 10a + -10a Combine like terms: 10a + -10a = 0 2 + -5a = -3 + 0 2 + -5a = -3 Add '-2' to each side of the equation. 2 + -2 + -5a = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -5a = -3 + -2 -5a = -3 + -2 Combine like terms: -3 + -2 = -5 -5a = -5 Divide each side by '-5'. a = 1 Simplifying a = 1
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