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Simplifying -3(a + 4) + 5a = 3a + -4 Reorder the terms: -3(4 + a) + 5a = 3a + -4 (4 * -3 + a * -3) + 5a = 3a + -4 (-12 + -3a) + 5a = 3a + -4 Combine like terms: -3a + 5a = 2a -12 + 2a = 3a + -4 Reorder the terms: -12 + 2a = -4 + 3a Solving -12 + 2a = -4 + 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. -12 + 2a + -3a = -4 + 3a + -3a Combine like terms: 2a + -3a = -1a -12 + -1a = -4 + 3a + -3a Combine like terms: 3a + -3a = 0 -12 + -1a = -4 + 0 -12 + -1a = -4 Add '12' to each side of the equation. -12 + 12 + -1a = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -1a = -4 + 12 -1a = -4 + 12 Combine like terms: -4 + 12 = 8 -1a = 8 Divide each side by '-1'. a = -8 Simplifying a = -8
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