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Simplifying 5(a + -8) + 24 = 3(a + -4) Reorder the terms: 5(-8 + a) + 24 = 3(a + -4) (-8 * 5 + a * 5) + 24 = 3(a + -4) (-40 + 5a) + 24 = 3(a + -4) Reorder the terms: -40 + 24 + 5a = 3(a + -4) Combine like terms: -40 + 24 = -16 -16 + 5a = 3(a + -4) Reorder the terms: -16 + 5a = 3(-4 + a) -16 + 5a = (-4 * 3 + a * 3) -16 + 5a = (-12 + 3a) Solving -16 + 5a = -12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -16 + 5a + -3a = -12 + 3a + -3a Combine like terms: 5a + -3a = 2a -16 + 2a = -12 + 3a + -3a Combine like terms: 3a + -3a = 0 -16 + 2a = -12 + 0 -16 + 2a = -12 Add '16' to each side of the equation. -16 + 16 + 2a = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 2a = -12 + 16 2a = -12 + 16 Combine like terms: -12 + 16 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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