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Simplifying 7a + -8 = 13(a + -5) Reorder the terms: -8 + 7a = 13(a + -5) Reorder the terms: -8 + 7a = 13(-5 + a) -8 + 7a = (-5 * 13 + a * 13) -8 + 7a = (-65 + 13a) Solving -8 + 7a = -65 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. -8 + 7a + -13a = -65 + 13a + -13a Combine like terms: 7a + -13a = -6a -8 + -6a = -65 + 13a + -13a Combine like terms: 13a + -13a = 0 -8 + -6a = -65 + 0 -8 + -6a = -65 Add '8' to each side of the equation. -8 + 8 + -6a = -65 + 8 Combine like terms: -8 + 8 = 0 0 + -6a = -65 + 8 -6a = -65 + 8 Combine like terms: -65 + 8 = -57 -6a = -57 Divide each side by '-6'. a = 9.5 Simplifying a = 9.5
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