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Simplifying 14 + -6(a + 20) = 9 + a Reorder the terms: 14 + -6(20 + a) = 9 + a 14 + (20 * -6 + a * -6) = 9 + a 14 + (-120 + -6a) = 9 + a Combine like terms: 14 + -120 = -106 -106 + -6a = 9 + a Solving -106 + -6a = 9 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -106 + -6a + -1a = 9 + a + -1a Combine like terms: -6a + -1a = -7a -106 + -7a = 9 + a + -1a Combine like terms: a + -1a = 0 -106 + -7a = 9 + 0 -106 + -7a = 9 Add '106' to each side of the equation. -106 + 106 + -7a = 9 + 106 Combine like terms: -106 + 106 = 0 0 + -7a = 9 + 106 -7a = 9 + 106 Combine like terms: 9 + 106 = 115 -7a = 115 Divide each side by '-7'. a = -16.42857143 Simplifying a = -16.42857143
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