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Simplifying -127 = 3 + -5(2 + -4a) -127 = 3 + (2 * -5 + -4a * -5) -127 = 3 + (-10 + 20a) Combine like terms: 3 + -10 = -7 -127 = -7 + 20a Solving -127 = -7 + 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. -127 + -20a = -7 + 20a + -20a Combine like terms: 20a + -20a = 0 -127 + -20a = -7 + 0 -127 + -20a = -7 Add '127' to each side of the equation. -127 + 127 + -20a = -7 + 127 Combine like terms: -127 + 127 = 0 0 + -20a = -7 + 127 -20a = -7 + 127 Combine like terms: -7 + 127 = 120 -20a = 120 Divide each side by '-20'. a = -6 Simplifying a = -6
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