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Simplifying 7a + -14 = 15(a + -6) Reorder the terms: -14 + 7a = 15(a + -6) Reorder the terms: -14 + 7a = 15(-6 + a) -14 + 7a = (-6 * 15 + a * 15) -14 + 7a = (-90 + 15a) Solving -14 + 7a = -90 + 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. -14 + 7a + -15a = -90 + 15a + -15a Combine like terms: 7a + -15a = -8a -14 + -8a = -90 + 15a + -15a Combine like terms: 15a + -15a = 0 -14 + -8a = -90 + 0 -14 + -8a = -90 Add '14' to each side of the equation. -14 + 14 + -8a = -90 + 14 Combine like terms: -14 + 14 = 0 0 + -8a = -90 + 14 -8a = -90 + 14 Combine like terms: -90 + 14 = -76 -8a = -76 Divide each side by '-8'. a = 9.5 Simplifying a = 9.5
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