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Simplifying 7a + -33 = -3(-5 + -5a) Reorder the terms: -33 + 7a = -3(-5 + -5a) -33 + 7a = (-5 * -3 + -5a * -3) -33 + 7a = (15 + 15a) Solving -33 + 7a = 15 + 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. -33 + 7a + -15a = 15 + 15a + -15a Combine like terms: 7a + -15a = -8a -33 + -8a = 15 + 15a + -15a Combine like terms: 15a + -15a = 0 -33 + -8a = 15 + 0 -33 + -8a = 15 Add '33' to each side of the equation. -33 + 33 + -8a = 15 + 33 Combine like terms: -33 + 33 = 0 0 + -8a = 15 + 33 -8a = 15 + 33 Combine like terms: 15 + 33 = 48 -8a = 48 Divide each side by '-8'. a = -6 Simplifying a = -6
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