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Simplifying 4(-1a + -3) + 3(-7a + -2) = 32 Reorder the terms: 4(-3 + -1a) + 3(-7a + -2) = 32 (-3 * 4 + -1a * 4) + 3(-7a + -2) = 32 (-12 + -4a) + 3(-7a + -2) = 32 Reorder the terms: -12 + -4a + 3(-2 + -7a) = 32 -12 + -4a + (-2 * 3 + -7a * 3) = 32 -12 + -4a + (-6 + -21a) = 32 Reorder the terms: -12 + -6 + -4a + -21a = 32 Combine like terms: -12 + -6 = -18 -18 + -4a + -21a = 32 Combine like terms: -4a + -21a = -25a -18 + -25a = 32 Solving -18 + -25a = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -25a = 32 + 18 Combine like terms: -18 + 18 = 0 0 + -25a = 32 + 18 -25a = 32 + 18 Combine like terms: 32 + 18 = 50 -25a = 50 Divide each side by '-25'. a = -2 Simplifying a = -2
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