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Simplifying 6(a + -7) + 18 = 2(a + -4) Reorder the terms: 6(-7 + a) + 18 = 2(a + -4) (-7 * 6 + a * 6) + 18 = 2(a + -4) (-42 + 6a) + 18 = 2(a + -4) Reorder the terms: -42 + 18 + 6a = 2(a + -4) Combine like terms: -42 + 18 = -24 -24 + 6a = 2(a + -4) Reorder the terms: -24 + 6a = 2(-4 + a) -24 + 6a = (-4 * 2 + a * 2) -24 + 6a = (-8 + 2a) Solving -24 + 6a = -8 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -24 + 6a + -2a = -8 + 2a + -2a Combine like terms: 6a + -2a = 4a -24 + 4a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -24 + 4a = -8 + 0 -24 + 4a = -8 Add '24' to each side of the equation. -24 + 24 + 4a = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 4a = -8 + 24 4a = -8 + 24 Combine like terms: -8 + 24 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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