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Simplifying -33 = 8 + 7(a + -6) Reorder the terms: -33 = 8 + 7(-6 + a) -33 = 8 + (-6 * 7 + a * 7) -33 = 8 + (-42 + 7a) Combine like terms: 8 + -42 = -34 -33 = -34 + 7a Solving -33 = -34 + 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. -33 + -7a = -34 + 7a + -7a Combine like terms: 7a + -7a = 0 -33 + -7a = -34 + 0 -33 + -7a = -34 Add '33' to each side of the equation. -33 + 33 + -7a = -34 + 33 Combine like terms: -33 + 33 = 0 0 + -7a = -34 + 33 -7a = -34 + 33 Combine like terms: -34 + 33 = -1 -7a = -1 Divide each side by '-7'. a = 0.1428571429 Simplifying a = 0.1428571429
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