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Simplifying 4(a + -1) + -5 = 3a + 7 Reorder the terms: 4(-1 + a) + -5 = 3a + 7 (-1 * 4 + a * 4) + -5 = 3a + 7 (-4 + 4a) + -5 = 3a + 7 Reorder the terms: -4 + -5 + 4a = 3a + 7 Combine like terms: -4 + -5 = -9 -9 + 4a = 3a + 7 Reorder the terms: -9 + 4a = 7 + 3a Solving -9 + 4a = 7 + 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. -9 + 4a + -3a = 7 + 3a + -3a Combine like terms: 4a + -3a = 1a -9 + 1a = 7 + 3a + -3a Combine like terms: 3a + -3a = 0 -9 + 1a = 7 + 0 -9 + 1a = 7 Add '9' to each side of the equation. -9 + 9 + 1a = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 1a = 7 + 9 1a = 7 + 9 Combine like terms: 7 + 9 = 16 1a = 16 Divide each side by '1'. a = 16 Simplifying a = 16
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