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Simplifying -7a + -32 = -6(2a + 4) * 2 Reorder the terms: -32 + -7a = -6(2a + 4) * 2 Reorder the terms: -32 + -7a = -6(4 + 2a) * 2 Reorder the terms for easier multiplication: -32 + -7a = -6 * 2(4 + 2a) Multiply -6 * 2 -32 + -7a = -12(4 + 2a) -32 + -7a = (4 * -12 + 2a * -12) -32 + -7a = (-48 + -24a) Solving -32 + -7a = -48 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. -32 + -7a + 24a = -48 + -24a + 24a Combine like terms: -7a + 24a = 17a -32 + 17a = -48 + -24a + 24a Combine like terms: -24a + 24a = 0 -32 + 17a = -48 + 0 -32 + 17a = -48 Add '32' to each side of the equation. -32 + 32 + 17a = -48 + 32 Combine like terms: -32 + 32 = 0 0 + 17a = -48 + 32 17a = -48 + 32 Combine like terms: -48 + 32 = -16 17a = -16 Divide each side by '17'. a = -0.9411764706 Simplifying a = -0.9411764706
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