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Simplifying 7(a + -8) + 16 = 2(a + -5) Reorder the terms: 7(-8 + a) + 16 = 2(a + -5) (-8 * 7 + a * 7) + 16 = 2(a + -5) (-56 + 7a) + 16 = 2(a + -5) Reorder the terms: -56 + 16 + 7a = 2(a + -5) Combine like terms: -56 + 16 = -40 -40 + 7a = 2(a + -5) Reorder the terms: -40 + 7a = 2(-5 + a) -40 + 7a = (-5 * 2 + a * 2) -40 + 7a = (-10 + 2a) Solving -40 + 7a = -10 + 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. -40 + 7a + -2a = -10 + 2a + -2a Combine like terms: 7a + -2a = 5a -40 + 5a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 -40 + 5a = -10 + 0 -40 + 5a = -10 Add '40' to each side of the equation. -40 + 40 + 5a = -10 + 40 Combine like terms: -40 + 40 = 0 0 + 5a = -10 + 40 5a = -10 + 40 Combine like terms: -10 + 40 = 30 5a = 30 Divide each side by '5'. a = 6 Simplifying a = 6
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