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Simplifying 6(a + -4) + 6 = 3(a + -5) Reorder the terms: 6(-4 + a) + 6 = 3(a + -5) (-4 * 6 + a * 6) + 6 = 3(a + -5) (-24 + 6a) + 6 = 3(a + -5) Reorder the terms: -24 + 6 + 6a = 3(a + -5) Combine like terms: -24 + 6 = -18 -18 + 6a = 3(a + -5) Reorder the terms: -18 + 6a = 3(-5 + a) -18 + 6a = (-5 * 3 + a * 3) -18 + 6a = (-15 + 3a) Solving -18 + 6a = -15 + 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. -18 + 6a + -3a = -15 + 3a + -3a Combine like terms: 6a + -3a = 3a -18 + 3a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 -18 + 3a = -15 + 0 -18 + 3a = -15 Add '18' to each side of the equation. -18 + 18 + 3a = -15 + 18 Combine like terms: -18 + 18 = 0 0 + 3a = -15 + 18 3a = -15 + 18 Combine like terms: -15 + 18 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1
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