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Simplifying 2(-5a + 1) + -5 = -10 + 10a Reorder the terms: 2(1 + -5a) + -5 = -10 + 10a (1 * 2 + -5a * 2) + -5 = -10 + 10a (2 + -10a) + -5 = -10 + 10a Reorder the terms: 2 + -5 + -10a = -10 + 10a Combine like terms: 2 + -5 = -3 -3 + -10a = -10 + 10a Solving -3 + -10a = -10 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -3 + -10a + -10a = -10 + 10a + -10a Combine like terms: -10a + -10a = -20a -3 + -20a = -10 + 10a + -10a Combine like terms: 10a + -10a = 0 -3 + -20a = -10 + 0 -3 + -20a = -10 Add '3' to each side of the equation. -3 + 3 + -20a = -10 + 3 Combine like terms: -3 + 3 = 0 0 + -20a = -10 + 3 -20a = -10 + 3 Combine like terms: -10 + 3 = -7 -20a = -7 Divide each side by '-20'. a = 0.35 Simplifying a = 0.35
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