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Simplifying 3(a + -1) + -4 = 2(3a + -2) Reorder the terms: 3(-1 + a) + -4 = 2(3a + -2) (-1 * 3 + a * 3) + -4 = 2(3a + -2) (-3 + 3a) + -4 = 2(3a + -2) Reorder the terms: -3 + -4 + 3a = 2(3a + -2) Combine like terms: -3 + -4 = -7 -7 + 3a = 2(3a + -2) Reorder the terms: -7 + 3a = 2(-2 + 3a) -7 + 3a = (-2 * 2 + 3a * 2) -7 + 3a = (-4 + 6a) Solving -7 + 3a = -4 + 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. -7 + 3a + -6a = -4 + 6a + -6a Combine like terms: 3a + -6a = -3a -7 + -3a = -4 + 6a + -6a Combine like terms: 6a + -6a = 0 -7 + -3a = -4 + 0 -7 + -3a = -4 Add '7' to each side of the equation. -7 + 7 + -3a = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -3a = -4 + 7 -3a = -4 + 7 Combine like terms: -4 + 7 = 3 -3a = 3 Divide each side by '-3'. a = -1 Simplifying a = -1
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