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Simplifying -3 = -4(3 + 5a) + 7a -3 = (3 * -4 + 5a * -4) + 7a -3 = (-12 + -20a) + 7a Combine like terms: -20a + 7a = -13a -3 = -12 + -13a Solving -3 = -12 + -13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13a' to each side of the equation. -3 + 13a = -12 + -13a + 13a Combine like terms: -13a + 13a = 0 -3 + 13a = -12 + 0 -3 + 13a = -12 Add '3' to each side of the equation. -3 + 3 + 13a = -12 + 3 Combine like terms: -3 + 3 = 0 0 + 13a = -12 + 3 13a = -12 + 3 Combine like terms: -12 + 3 = -9 13a = -9 Divide each side by '13'. a = -0.6923076923 Simplifying a = -0.6923076923
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