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Simplifying 7(a + -3) = 2(5a + -8) Reorder the terms: 7(-3 + a) = 2(5a + -8) (-3 * 7 + a * 7) = 2(5a + -8) (-21 + 7a) = 2(5a + -8) Reorder the terms: -21 + 7a = 2(-8 + 5a) -21 + 7a = (-8 * 2 + 5a * 2) -21 + 7a = (-16 + 10a) Solving -21 + 7a = -16 + 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. -21 + 7a + -10a = -16 + 10a + -10a Combine like terms: 7a + -10a = -3a -21 + -3a = -16 + 10a + -10a Combine like terms: 10a + -10a = 0 -21 + -3a = -16 + 0 -21 + -3a = -16 Add '21' to each side of the equation. -21 + 21 + -3a = -16 + 21 Combine like terms: -21 + 21 = 0 0 + -3a = -16 + 21 -3a = -16 + 21 Combine like terms: -16 + 21 = 5 -3a = 5 Divide each side by '-3'. a = -1.666666667 Simplifying a = -1.666666667
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