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Simplifying -5(5a + 2) = 30 + -5a Reorder the terms: -5(2 + 5a) = 30 + -5a (2 * -5 + 5a * -5) = 30 + -5a (-10 + -25a) = 30 + -5a Solving -10 + -25a = 30 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -10 + -25a + 5a = 30 + -5a + 5a Combine like terms: -25a + 5a = -20a -10 + -20a = 30 + -5a + 5a Combine like terms: -5a + 5a = 0 -10 + -20a = 30 + 0 -10 + -20a = 30 Add '10' to each side of the equation. -10 + 10 + -20a = 30 + 10 Combine like terms: -10 + 10 = 0 0 + -20a = 30 + 10 -20a = 30 + 10 Combine like terms: 30 + 10 = 40 -20a = 40 Divide each side by '-20'. a = -2 Simplifying a = -2
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