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Simplifying 3(-50a + -59) = -3(2a + 491) Reorder the terms: 3(-59 + -50a) = -3(2a + 491) (-59 * 3 + -50a * 3) = -3(2a + 491) (-177 + -150a) = -3(2a + 491) Reorder the terms: -177 + -150a = -3(491 + 2a) -177 + -150a = (491 * -3 + 2a * -3) -177 + -150a = (-1473 + -6a) Solving -177 + -150a = -1473 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -177 + -150a + 6a = -1473 + -6a + 6a Combine like terms: -150a + 6a = -144a -177 + -144a = -1473 + -6a + 6a Combine like terms: -6a + 6a = 0 -177 + -144a = -1473 + 0 -177 + -144a = -1473 Add '177' to each side of the equation. -177 + 177 + -144a = -1473 + 177 Combine like terms: -177 + 177 = 0 0 + -144a = -1473 + 177 -144a = -1473 + 177 Combine like terms: -1473 + 177 = -1296 -144a = -1296 Divide each side by '-144'. a = 9 Simplifying a = 9
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