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Simplifying 7(a + -6) + 13 = 3(a + -7) Reorder the terms: 7(-6 + a) + 13 = 3(a + -7) (-6 * 7 + a * 7) + 13 = 3(a + -7) (-42 + 7a) + 13 = 3(a + -7) Reorder the terms: -42 + 13 + 7a = 3(a + -7) Combine like terms: -42 + 13 = -29 -29 + 7a = 3(a + -7) Reorder the terms: -29 + 7a = 3(-7 + a) -29 + 7a = (-7 * 3 + a * 3) -29 + 7a = (-21 + 3a) Solving -29 + 7a = -21 + 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. -29 + 7a + -3a = -21 + 3a + -3a Combine like terms: 7a + -3a = 4a -29 + 4a = -21 + 3a + -3a Combine like terms: 3a + -3a = 0 -29 + 4a = -21 + 0 -29 + 4a = -21 Add '29' to each side of the equation. -29 + 29 + 4a = -21 + 29 Combine like terms: -29 + 29 = 0 0 + 4a = -21 + 29 4a = -21 + 29 Combine like terms: -21 + 29 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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