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Simplifying 5a + -3(7 + -1a) = 3(5a + -4) 5a + (7 * -3 + -1a * -3) = 3(5a + -4) 5a + (-21 + 3a) = 3(5a + -4) Reorder the terms: -21 + 5a + 3a = 3(5a + -4) Combine like terms: 5a + 3a = 8a -21 + 8a = 3(5a + -4) Reorder the terms: -21 + 8a = 3(-4 + 5a) -21 + 8a = (-4 * 3 + 5a * 3) -21 + 8a = (-12 + 15a) Solving -21 + 8a = -12 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -21 + 8a + -15a = -12 + 15a + -15a Combine like terms: 8a + -15a = -7a -21 + -7a = -12 + 15a + -15a Combine like terms: 15a + -15a = 0 -21 + -7a = -12 + 0 -21 + -7a = -12 Add '21' to each side of the equation. -21 + 21 + -7a = -12 + 21 Combine like terms: -21 + 21 = 0 0 + -7a = -12 + 21 -7a = -12 + 21 Combine like terms: -12 + 21 = 9 -7a = 9 Divide each side by '-7'. a = -1.285714286 Simplifying a = -1.285714286
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