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Simplifying 7(a + -7) + 29 = 3(a + -4) Reorder the terms: 7(-7 + a) + 29 = 3(a + -4) (-7 * 7 + a * 7) + 29 = 3(a + -4) (-49 + 7a) + 29 = 3(a + -4) Reorder the terms: -49 + 29 + 7a = 3(a + -4) Combine like terms: -49 + 29 = -20 -20 + 7a = 3(a + -4) Reorder the terms: -20 + 7a = 3(-4 + a) -20 + 7a = (-4 * 3 + a * 3) -20 + 7a = (-12 + 3a) Solving -20 + 7a = -12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -20 + 7a + -3a = -12 + 3a + -3a Combine like terms: 7a + -3a = 4a -20 + 4a = -12 + 3a + -3a Combine like terms: 3a + -3a = 0 -20 + 4a = -12 + 0 -20 + 4a = -12 Add '20' to each side of the equation. -20 + 20 + 4a = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 4a = -12 + 20 4a = -12 + 20 Combine like terms: -12 + 20 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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