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Simplifying 8(a + -7) = 10(a + -2) Reorder the terms: 8(-7 + a) = 10(a + -2) (-7 * 8 + a * 8) = 10(a + -2) (-56 + 8a) = 10(a + -2) Reorder the terms: -56 + 8a = 10(-2 + a) -56 + 8a = (-2 * 10 + a * 10) -56 + 8a = (-20 + 10a) Solving -56 + 8a = -20 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -56 + 8a + -10a = -20 + 10a + -10a Combine like terms: 8a + -10a = -2a -56 + -2a = -20 + 10a + -10a Combine like terms: 10a + -10a = 0 -56 + -2a = -20 + 0 -56 + -2a = -20 Add '56' to each side of the equation. -56 + 56 + -2a = -20 + 56 Combine like terms: -56 + 56 = 0 0 + -2a = -20 + 56 -2a = -20 + 56 Combine like terms: -20 + 56 = 36 -2a = 36 Divide each side by '-2'. a = -18 Simplifying a = -18
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