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Simplifying -24 + 7a = 4(7 + 5a) -24 + 7a = (7 * 4 + 5a * 4) -24 + 7a = (28 + 20a) Solving -24 + 7a = 28 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -24 + 7a + -20a = 28 + 20a + -20a Combine like terms: 7a + -20a = -13a -24 + -13a = 28 + 20a + -20a Combine like terms: 20a + -20a = 0 -24 + -13a = 28 + 0 -24 + -13a = 28 Add '24' to each side of the equation. -24 + 24 + -13a = 28 + 24 Combine like terms: -24 + 24 = 0 0 + -13a = 28 + 24 -13a = 28 + 24 Combine like terms: 28 + 24 = 52 -13a = 52 Divide each side by '-13'. a = -4 Simplifying a = -4
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