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Simplifying 5(a + -8) = -28 + 7a Reorder the terms: 5(-8 + a) = -28 + 7a (-8 * 5 + a * 5) = -28 + 7a (-40 + 5a) = -28 + 7a Solving -40 + 5a = -28 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -40 + 5a + -7a = -28 + 7a + -7a Combine like terms: 5a + -7a = -2a -40 + -2a = -28 + 7a + -7a Combine like terms: 7a + -7a = 0 -40 + -2a = -28 + 0 -40 + -2a = -28 Add '40' to each side of the equation. -40 + 40 + -2a = -28 + 40 Combine like terms: -40 + 40 = 0 0 + -2a = -28 + 40 -2a = -28 + 40 Combine like terms: -28 + 40 = 12 -2a = 12 Divide each side by '-2'. a = -6 Simplifying a = -6
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