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Simplifying -4a + -24 = 3(a + 6) + -7 Reorder the terms: -24 + -4a = 3(a + 6) + -7 Reorder the terms: -24 + -4a = 3(6 + a) + -7 -24 + -4a = (6 * 3 + a * 3) + -7 -24 + -4a = (18 + 3a) + -7 Reorder the terms: -24 + -4a = 18 + -7 + 3a Combine like terms: 18 + -7 = 11 -24 + -4a = 11 + 3a Solving -24 + -4a = 11 + 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. -24 + -4a + -3a = 11 + 3a + -3a Combine like terms: -4a + -3a = -7a -24 + -7a = 11 + 3a + -3a Combine like terms: 3a + -3a = 0 -24 + -7a = 11 + 0 -24 + -7a = 11 Add '24' to each side of the equation. -24 + 24 + -7a = 11 + 24 Combine like terms: -24 + 24 = 0 0 + -7a = 11 + 24 -7a = 11 + 24 Combine like terms: 11 + 24 = 35 -7a = 35 Divide each side by '-7'. a = -5 Simplifying a = -5
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