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Simplifying 6a + -10 = 14(a + -5) Reorder the terms: -10 + 6a = 14(a + -5) Reorder the terms: -10 + 6a = 14(-5 + a) -10 + 6a = (-5 * 14 + a * 14) -10 + 6a = (-70 + 14a) Solving -10 + 6a = -70 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -10 + 6a + -14a = -70 + 14a + -14a Combine like terms: 6a + -14a = -8a -10 + -8a = -70 + 14a + -14a Combine like terms: 14a + -14a = 0 -10 + -8a = -70 + 0 -10 + -8a = -70 Add '10' to each side of the equation. -10 + 10 + -8a = -70 + 10 Combine like terms: -10 + 10 = 0 0 + -8a = -70 + 10 -8a = -70 + 10 Combine like terms: -70 + 10 = -60 -8a = -60 Divide each side by '-8'. a = 7.5 Simplifying a = 7.5
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