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Simplifying 4(a + -2) + -2a = 10 + 3(a + -3) Reorder the terms: 4(-2 + a) + -2a = 10 + 3(a + -3) (-2 * 4 + a * 4) + -2a = 10 + 3(a + -3) (-8 + 4a) + -2a = 10 + 3(a + -3) Combine like terms: 4a + -2a = 2a -8 + 2a = 10 + 3(a + -3) Reorder the terms: -8 + 2a = 10 + 3(-3 + a) -8 + 2a = 10 + (-3 * 3 + a * 3) -8 + 2a = 10 + (-9 + 3a) Combine like terms: 10 + -9 = 1 -8 + 2a = 1 + 3a Solving -8 + 2a = 1 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -8 + 2a + -3a = 1 + 3a + -3a Combine like terms: 2a + -3a = -1a -8 + -1a = 1 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + -1a = 1 + 0 -8 + -1a = 1 Add '8' to each side of the equation. -8 + 8 + -1a = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -1a = 1 + 8 -1a = 1 + 8 Combine like terms: 1 + 8 = 9 -1a = 9 Divide each side by '-1'. a = -9 Simplifying a = -9
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