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Simplifying -29 + 8a = 7(4a + -7) Reorder the terms: -29 + 8a = 7(-7 + 4a) -29 + 8a = (-7 * 7 + 4a * 7) -29 + 8a = (-49 + 28a) Solving -29 + 8a = -49 + 28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-28a' to each side of the equation. -29 + 8a + -28a = -49 + 28a + -28a Combine like terms: 8a + -28a = -20a -29 + -20a = -49 + 28a + -28a Combine like terms: 28a + -28a = 0 -29 + -20a = -49 + 0 -29 + -20a = -49 Add '29' to each side of the equation. -29 + 29 + -20a = -49 + 29 Combine like terms: -29 + 29 = 0 0 + -20a = -49 + 29 -20a = -49 + 29 Combine like terms: -49 + 29 = -20 -20a = -20 Divide each side by '-20'. a = 1 Simplifying a = 1
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