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Simplifying 8(7a + 2) = -33 + 7a Reorder the terms: 8(2 + 7a) = -33 + 7a (2 * 8 + 7a * 8) = -33 + 7a (16 + 56a) = -33 + 7a Solving 16 + 56a = -33 + 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. 16 + 56a + -7a = -33 + 7a + -7a Combine like terms: 56a + -7a = 49a 16 + 49a = -33 + 7a + -7a Combine like terms: 7a + -7a = 0 16 + 49a = -33 + 0 16 + 49a = -33 Add '-16' to each side of the equation. 16 + -16 + 49a = -33 + -16 Combine like terms: 16 + -16 = 0 0 + 49a = -33 + -16 49a = -33 + -16 Combine like terms: -33 + -16 = -49 49a = -49 Divide each side by '49'. a = -1 Simplifying a = -1
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