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Simplifying 7(a + -4) + 3(a + -6) = 6a + -12 Reorder the terms: 7(-4 + a) + 3(a + -6) = 6a + -12 (-4 * 7 + a * 7) + 3(a + -6) = 6a + -12 (-28 + 7a) + 3(a + -6) = 6a + -12 Reorder the terms: -28 + 7a + 3(-6 + a) = 6a + -12 -28 + 7a + (-6 * 3 + a * 3) = 6a + -12 -28 + 7a + (-18 + 3a) = 6a + -12 Reorder the terms: -28 + -18 + 7a + 3a = 6a + -12 Combine like terms: -28 + -18 = -46 -46 + 7a + 3a = 6a + -12 Combine like terms: 7a + 3a = 10a -46 + 10a = 6a + -12 Reorder the terms: -46 + 10a = -12 + 6a Solving -46 + 10a = -12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -46 + 10a + -6a = -12 + 6a + -6a Combine like terms: 10a + -6a = 4a -46 + 4a = -12 + 6a + -6a Combine like terms: 6a + -6a = 0 -46 + 4a = -12 + 0 -46 + 4a = -12 Add '46' to each side of the equation. -46 + 46 + 4a = -12 + 46 Combine like terms: -46 + 46 = 0 0 + 4a = -12 + 46 4a = -12 + 46 Combine like terms: -12 + 46 = 34 4a = 34 Divide each side by '4'. a = 8.5 Simplifying a = 8.5
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