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Simplifying -5 = 4(5a + -2) + 7 Reorder the terms: -5 = 4(-2 + 5a) + 7 -5 = (-2 * 4 + 5a * 4) + 7 -5 = (-8 + 20a) + 7 Reorder the terms: -5 = -8 + 7 + 20a Combine like terms: -8 + 7 = -1 -5 = -1 + 20a Solving -5 = -1 + 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. -5 + -20a = -1 + 20a + -20a Combine like terms: 20a + -20a = 0 -5 + -20a = -1 + 0 -5 + -20a = -1 Add '5' to each side of the equation. -5 + 5 + -20a = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -20a = -1 + 5 -20a = -1 + 5 Combine like terms: -1 + 5 = 4 -20a = 4 Divide each side by '-20'. a = -0.2 Simplifying a = -0.2
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