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Simplifying -7(5 + 7a) + 2a = -270 (5 * -7 + 7a * -7) + 2a = -270 (-35 + -49a) + 2a = -270 Combine like terms: -49a + 2a = -47a -35 + -47a = -270 Solving -35 + -47a = -270 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -47a = -270 + 35 Combine like terms: -35 + 35 = 0 0 + -47a = -270 + 35 -47a = -270 + 35 Combine like terms: -270 + 35 = -235 -47a = -235 Divide each side by '-47'. a = 5 Simplifying a = 5
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