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Simplifying 3(a + -7) + -3(2a + -4) = 4(a + 3) Reorder the terms: 3(-7 + a) + -3(2a + -4) = 4(a + 3) (-7 * 3 + a * 3) + -3(2a + -4) = 4(a + 3) (-21 + 3a) + -3(2a + -4) = 4(a + 3) Reorder the terms: -21 + 3a + -3(-4 + 2a) = 4(a + 3) -21 + 3a + (-4 * -3 + 2a * -3) = 4(a + 3) -21 + 3a + (12 + -6a) = 4(a + 3) Reorder the terms: -21 + 12 + 3a + -6a = 4(a + 3) Combine like terms: -21 + 12 = -9 -9 + 3a + -6a = 4(a + 3) Combine like terms: 3a + -6a = -3a -9 + -3a = 4(a + 3) Reorder the terms: -9 + -3a = 4(3 + a) -9 + -3a = (3 * 4 + a * 4) -9 + -3a = (12 + 4a) Solving -9 + -3a = 12 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -9 + -3a + -4a = 12 + 4a + -4a Combine like terms: -3a + -4a = -7a -9 + -7a = 12 + 4a + -4a Combine like terms: 4a + -4a = 0 -9 + -7a = 12 + 0 -9 + -7a = 12 Add '9' to each side of the equation. -9 + 9 + -7a = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -7a = 12 + 9 -7a = 12 + 9 Combine like terms: 12 + 9 = 21 -7a = 21 Divide each side by '-7'. a = -3 Simplifying a = -3
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