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Simplifying -24 + -3a = -7(-2a + 1) Reorder the terms: -24 + -3a = -7(1 + -2a) -24 + -3a = (1 * -7 + -2a * -7) -24 + -3a = (-7 + 14a) Solving -24 + -3a = -7 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -24 + -3a + -14a = -7 + 14a + -14a Combine like terms: -3a + -14a = -17a -24 + -17a = -7 + 14a + -14a Combine like terms: 14a + -14a = 0 -24 + -17a = -7 + 0 -24 + -17a = -7 Add '24' to each side of the equation. -24 + 24 + -17a = -7 + 24 Combine like terms: -24 + 24 = 0 0 + -17a = -7 + 24 -17a = -7 + 24 Combine like terms: -7 + 24 = 17 -17a = 17 Divide each side by '-17'. a = -1 Simplifying a = -1
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