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Simplifying 5(a + -7) + 18 = 2(a + -4) Reorder the terms: 5(-7 + a) + 18 = 2(a + -4) (-7 * 5 + a * 5) + 18 = 2(a + -4) (-35 + 5a) + 18 = 2(a + -4) Reorder the terms: -35 + 18 + 5a = 2(a + -4) Combine like terms: -35 + 18 = -17 -17 + 5a = 2(a + -4) Reorder the terms: -17 + 5a = 2(-4 + a) -17 + 5a = (-4 * 2 + a * 2) -17 + 5a = (-8 + 2a) Solving -17 + 5a = -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. -17 + 5a + -2a = -8 + 2a + -2a Combine like terms: 5a + -2a = 3a -17 + 3a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -17 + 3a = -8 + 0 -17 + 3a = -8 Add '17' to each side of the equation. -17 + 17 + 3a = -8 + 17 Combine like terms: -17 + 17 = 0 0 + 3a = -8 + 17 3a = -8 + 17 Combine like terms: -8 + 17 = 9 3a = 9 Divide each side by '3'. a = 3 Simplifying a = 3
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