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Simplifying 5(a + -7) + 6 = (a + -7) Reorder the terms: 5(-7 + a) + 6 = (a + -7) (-7 * 5 + a * 5) + 6 = (a + -7) (-35 + 5a) + 6 = (a + -7) Reorder the terms: -35 + 6 + 5a = (a + -7) Combine like terms: -35 + 6 = -29 -29 + 5a = (a + -7) Reorder the terms: -29 + 5a = (-7 + a) Remove parenthesis around (-7 + a) -29 + 5a = -7 + a Solving -29 + 5a = -7 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -29 + 5a + -1a = -7 + a + -1a Combine like terms: 5a + -1a = 4a -29 + 4a = -7 + a + -1a Combine like terms: a + -1a = 0 -29 + 4a = -7 + 0 -29 + 4a = -7 Add '29' to each side of the equation. -29 + 29 + 4a = -7 + 29 Combine like terms: -29 + 29 = 0 0 + 4a = -7 + 29 4a = -7 + 29 Combine like terms: -7 + 29 = 22 4a = 22 Divide each side by '4'. a = 5.5 Simplifying a = 5.5
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