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Simplifying 5(a + -8) + 10 = 3(a + -6) Reorder the terms: 5(-8 + a) + 10 = 3(a + -6) (-8 * 5 + a * 5) + 10 = 3(a + -6) (-40 + 5a) + 10 = 3(a + -6) Reorder the terms: -40 + 10 + 5a = 3(a + -6) Combine like terms: -40 + 10 = -30 -30 + 5a = 3(a + -6) Reorder the terms: -30 + 5a = 3(-6 + a) -30 + 5a = (-6 * 3 + a * 3) -30 + 5a = (-18 + 3a) Solving -30 + 5a = -18 + 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. -30 + 5a + -3a = -18 + 3a + -3a Combine like terms: 5a + -3a = 2a -30 + 2a = -18 + 3a + -3a Combine like terms: 3a + -3a = 0 -30 + 2a = -18 + 0 -30 + 2a = -18 Add '30' to each side of the equation. -30 + 30 + 2a = -18 + 30 Combine like terms: -30 + 30 = 0 0 + 2a = -18 + 30 2a = -18 + 30 Combine like terms: -18 + 30 = 12 2a = 12 Divide each side by '2'. a = 6 Simplifying a = 6
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