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Simplifying 6(a + -7) + 18 = 3(a + -4) Reorder the terms: 6(-7 + a) + 18 = 3(a + -4) (-7 * 6 + a * 6) + 18 = 3(a + -4) (-42 + 6a) + 18 = 3(a + -4) Reorder the terms: -42 + 18 + 6a = 3(a + -4) Combine like terms: -42 + 18 = -24 -24 + 6a = 3(a + -4) Reorder the terms: -24 + 6a = 3(-4 + a) -24 + 6a = (-4 * 3 + a * 3) -24 + 6a = (-12 + 3a) Solving -24 + 6a = -12 + 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. -24 + 6a + -3a = -12 + 3a + -3a Combine like terms: 6a + -3a = 3a -24 + 3a = -12 + 3a + -3a Combine like terms: 3a + -3a = 0 -24 + 3a = -12 + 0 -24 + 3a = -12 Add '24' to each side of the equation. -24 + 24 + 3a = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 3a = -12 + 24 3a = -12 + 24 Combine like terms: -12 + 24 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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