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Simplifying -53 = 7(a + -3) + -2(7a + 2) Reorder the terms: -53 = 7(-3 + a) + -2(7a + 2) -53 = (-3 * 7 + a * 7) + -2(7a + 2) -53 = (-21 + 7a) + -2(7a + 2) Reorder the terms: -53 = -21 + 7a + -2(2 + 7a) -53 = -21 + 7a + (2 * -2 + 7a * -2) -53 = -21 + 7a + (-4 + -14a) Reorder the terms: -53 = -21 + -4 + 7a + -14a Combine like terms: -21 + -4 = -25 -53 = -25 + 7a + -14a Combine like terms: 7a + -14a = -7a -53 = -25 + -7a Solving -53 = -25 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -53 + 7a = -25 + -7a + 7a Combine like terms: -7a + 7a = 0 -53 + 7a = -25 + 0 -53 + 7a = -25 Add '53' to each side of the equation. -53 + 53 + 7a = -25 + 53 Combine like terms: -53 + 53 = 0 0 + 7a = -25 + 53 7a = -25 + 53 Combine like terms: -25 + 53 = 28 7a = 28 Divide each side by '7'. a = 4 Simplifying a = 4
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