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Simplifying 5(a + -2) = 8(a + -1) Reorder the terms: 5(-2 + a) = 8(a + -1) (-2 * 5 + a * 5) = 8(a + -1) (-10 + 5a) = 8(a + -1) Reorder the terms: -10 + 5a = 8(-1 + a) -10 + 5a = (-1 * 8 + a * 8) -10 + 5a = (-8 + 8a) Solving -10 + 5a = -8 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -10 + 5a + -8a = -8 + 8a + -8a Combine like terms: 5a + -8a = -3a -10 + -3a = -8 + 8a + -8a Combine like terms: 8a + -8a = 0 -10 + -3a = -8 + 0 -10 + -3a = -8 Add '10' to each side of the equation. -10 + 10 + -3a = -8 + 10 Combine like terms: -10 + 10 = 0 0 + -3a = -8 + 10 -3a = -8 + 10 Combine like terms: -8 + 10 = 2 -3a = 2 Divide each side by '-3'. a = -0.6666666667 Simplifying a = -0.6666666667
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