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Simplifying 45 + -6a = -3(a + -7) Reorder the terms: 45 + -6a = -3(-7 + a) 45 + -6a = (-7 * -3 + a * -3) 45 + -6a = (21 + -3a) Solving 45 + -6a = 21 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 45 + -6a + 3a = 21 + -3a + 3a Combine like terms: -6a + 3a = -3a 45 + -3a = 21 + -3a + 3a Combine like terms: -3a + 3a = 0 45 + -3a = 21 + 0 45 + -3a = 21 Add '-45' to each side of the equation. 45 + -45 + -3a = 21 + -45 Combine like terms: 45 + -45 = 0 0 + -3a = 21 + -45 -3a = 21 + -45 Combine like terms: 21 + -45 = -24 -3a = -24 Divide each side by '-3'. a = 8 Simplifying a = 8
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