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Simplifying 10(a) + -13 = 15(a + -4) Reorder the terms: -13 + 10a = 15(a + -4) Reorder the terms: -13 + 10a = 15(-4 + a) -13 + 10a = (-4 * 15 + a * 15) -13 + 10a = (-60 + 15a) Solving -13 + 10a = -60 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -13 + 10a + -15a = -60 + 15a + -15a Combine like terms: 10a + -15a = -5a -13 + -5a = -60 + 15a + -15a Combine like terms: 15a + -15a = 0 -13 + -5a = -60 + 0 -13 + -5a = -60 Add '13' to each side of the equation. -13 + 13 + -5a = -60 + 13 Combine like terms: -13 + 13 = 0 0 + -5a = -60 + 13 -5a = -60 + 13 Combine like terms: -60 + 13 = -47 -5a = -47 Divide each side by '-5'. a = 9.4 Simplifying a = 9.4
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