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Simplifying 2(a + -7) = 5(a + -4) Reorder the terms: 2(-7 + a) = 5(a + -4) (-7 * 2 + a * 2) = 5(a + -4) (-14 + 2a) = 5(a + -4) Reorder the terms: -14 + 2a = 5(-4 + a) -14 + 2a = (-4 * 5 + a * 5) -14 + 2a = (-20 + 5a) Solving -14 + 2a = -20 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -14 + 2a + -5a = -20 + 5a + -5a Combine like terms: 2a + -5a = -3a -14 + -3a = -20 + 5a + -5a Combine like terms: 5a + -5a = 0 -14 + -3a = -20 + 0 -14 + -3a = -20 Add '14' to each side of the equation. -14 + 14 + -3a = -20 + 14 Combine like terms: -14 + 14 = 0 0 + -3a = -20 + 14 -3a = -20 + 14 Combine like terms: -20 + 14 = -6 -3a = -6 Divide each side by '-3'. a = 2 Simplifying a = 2
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