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Simplifying 8a + -7 = 14(a + -5) Reorder the terms: -7 + 8a = 14(a + -5) Reorder the terms: -7 + 8a = 14(-5 + a) -7 + 8a = (-5 * 14 + a * 14) -7 + 8a = (-70 + 14a) Solving -7 + 8a = -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. -7 + 8a + -14a = -70 + 14a + -14a Combine like terms: 8a + -14a = -6a -7 + -6a = -70 + 14a + -14a Combine like terms: 14a + -14a = 0 -7 + -6a = -70 + 0 -7 + -6a = -70 Add '7' to each side of the equation. -7 + 7 + -6a = -70 + 7 Combine like terms: -7 + 7 = 0 0 + -6a = -70 + 7 -6a = -70 + 7 Combine like terms: -70 + 7 = -63 -6a = -63 Divide each side by '-6'. a = 10.5 Simplifying a = 10.5
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