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Simplifying 5(a + -8) + 8 = 2(a + -7) Reorder the terms: 5(-8 + a) + 8 = 2(a + -7) (-8 * 5 + a * 5) + 8 = 2(a + -7) (-40 + 5a) + 8 = 2(a + -7) Reorder the terms: -40 + 8 + 5a = 2(a + -7) Combine like terms: -40 + 8 = -32 -32 + 5a = 2(a + -7) Reorder the terms: -32 + 5a = 2(-7 + a) -32 + 5a = (-7 * 2 + a * 2) -32 + 5a = (-14 + 2a) Solving -32 + 5a = -14 + 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. -32 + 5a + -2a = -14 + 2a + -2a Combine like terms: 5a + -2a = 3a -32 + 3a = -14 + 2a + -2a Combine like terms: 2a + -2a = 0 -32 + 3a = -14 + 0 -32 + 3a = -14 Add '32' to each side of the equation. -32 + 32 + 3a = -14 + 32 Combine like terms: -32 + 32 = 0 0 + 3a = -14 + 32 3a = -14 + 32 Combine like terms: -14 + 32 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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