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Simplifying 8(a + -5) + 5a = -2(-8a + 2) Reorder the terms: 8(-5 + a) + 5a = -2(-8a + 2) (-5 * 8 + a * 8) + 5a = -2(-8a + 2) (-40 + 8a) + 5a = -2(-8a + 2) Combine like terms: 8a + 5a = 13a -40 + 13a = -2(-8a + 2) Reorder the terms: -40 + 13a = -2(2 + -8a) -40 + 13a = (2 * -2 + -8a * -2) -40 + 13a = (-4 + 16a) Solving -40 + 13a = -4 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -40 + 13a + -16a = -4 + 16a + -16a Combine like terms: 13a + -16a = -3a -40 + -3a = -4 + 16a + -16a Combine like terms: 16a + -16a = 0 -40 + -3a = -4 + 0 -40 + -3a = -4 Add '40' to each side of the equation. -40 + 40 + -3a = -4 + 40 Combine like terms: -40 + 40 = 0 0 + -3a = -4 + 40 -3a = -4 + 40 Combine like terms: -4 + 40 = 36 -3a = 36 Divide each side by '-3'. a = -12 Simplifying a = -12
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