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Simplifying 8a + -10 = 13(a + -3) Reorder the terms: -10 + 8a = 13(a + -3) Reorder the terms: -10 + 8a = 13(-3 + a) -10 + 8a = (-3 * 13 + a * 13) -10 + 8a = (-39 + 13a) Solving -10 + 8a = -39 + 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. -10 + 8a + -13a = -39 + 13a + -13a Combine like terms: 8a + -13a = -5a -10 + -5a = -39 + 13a + -13a Combine like terms: 13a + -13a = 0 -10 + -5a = -39 + 0 -10 + -5a = -39 Add '10' to each side of the equation. -10 + 10 + -5a = -39 + 10 Combine like terms: -10 + 10 = 0 0 + -5a = -39 + 10 -5a = -39 + 10 Combine like terms: -39 + 10 = -29 -5a = -29 Divide each side by '-5'. a = 5.8 Simplifying a = 5.8
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