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Simplifying 3(a + -1) = 6(a + -4) Reorder the terms: 3(-1 + a) = 6(a + -4) (-1 * 3 + a * 3) = 6(a + -4) (-3 + 3a) = 6(a + -4) Reorder the terms: -3 + 3a = 6(-4 + a) -3 + 3a = (-4 * 6 + a * 6) -3 + 3a = (-24 + 6a) Solving -3 + 3a = -24 + 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. -3 + 3a + -6a = -24 + 6a + -6a Combine like terms: 3a + -6a = -3a -3 + -3a = -24 + 6a + -6a Combine like terms: 6a + -6a = 0 -3 + -3a = -24 + 0 -3 + -3a = -24 Add '3' to each side of the equation. -3 + 3 + -3a = -24 + 3 Combine like terms: -3 + 3 = 0 0 + -3a = -24 + 3 -3a = -24 + 3 Combine like terms: -24 + 3 = -21 -3a = -21 Divide each side by '-3'. a = 7 Simplifying a = 7
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