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Simplifying 5(a + -2) = -4(7 + -2a) + 5a Reorder the terms: 5(-2 + a) = -4(7 + -2a) + 5a (-2 * 5 + a * 5) = -4(7 + -2a) + 5a (-10 + 5a) = -4(7 + -2a) + 5a -10 + 5a = (7 * -4 + -2a * -4) + 5a -10 + 5a = (-28 + 8a) + 5a Combine like terms: 8a + 5a = 13a -10 + 5a = -28 + 13a Solving -10 + 5a = -28 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -10 + 5a + -13a = -28 + 13a + -13a Combine like terms: 5a + -13a = -8a -10 + -8a = -28 + 13a + -13a Combine like terms: 13a + -13a = 0 -10 + -8a = -28 + 0 -10 + -8a = -28 Add '10' to each side of the equation. -10 + 10 + -8a = -28 + 10 Combine like terms: -10 + 10 = 0 0 + -8a = -28 + 10 -8a = -28 + 10 Combine like terms: -28 + 10 = -18 -8a = -18 Divide each side by '-8'. a = 2.25 Simplifying a = 2.25
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