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Simplifying 7(a + -7) + 17 = 2(a + -6) Reorder the terms: 7(-7 + a) + 17 = 2(a + -6) (-7 * 7 + a * 7) + 17 = 2(a + -6) (-49 + 7a) + 17 = 2(a + -6) Reorder the terms: -49 + 17 + 7a = 2(a + -6) Combine like terms: -49 + 17 = -32 -32 + 7a = 2(a + -6) Reorder the terms: -32 + 7a = 2(-6 + a) -32 + 7a = (-6 * 2 + a * 2) -32 + 7a = (-12 + 2a) Solving -32 + 7a = -12 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -32 + 7a + -2a = -12 + 2a + -2a Combine like terms: 7a + -2a = 5a -32 + 5a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -32 + 5a = -12 + 0 -32 + 5a = -12 Add '32' to each side of the equation. -32 + 32 + 5a = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 5a = -12 + 32 5a = -12 + 32 Combine like terms: -12 + 32 = 20 5a = 20 Divide each side by '5'. a = 4 Simplifying a = 4
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