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Simplifying 4 + 8a + -17 + 3a = 7a + 1 + 5a + -10 Reorder the terms: 4 + -17 + 8a + 3a = 7a + 1 + 5a + -10 Combine like terms: 4 + -17 = -13 -13 + 8a + 3a = 7a + 1 + 5a + -10 Combine like terms: 8a + 3a = 11a -13 + 11a = 7a + 1 + 5a + -10 Reorder the terms: -13 + 11a = 1 + -10 + 7a + 5a Combine like terms: 1 + -10 = -9 -13 + 11a = -9 + 7a + 5a Combine like terms: 7a + 5a = 12a -13 + 11a = -9 + 12a Solving -13 + 11a = -9 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -13 + 11a + -12a = -9 + 12a + -12a Combine like terms: 11a + -12a = -1a -13 + -1a = -9 + 12a + -12a Combine like terms: 12a + -12a = 0 -13 + -1a = -9 + 0 -13 + -1a = -9 Add '13' to each side of the equation. -13 + 13 + -1a = -9 + 13 Combine like terms: -13 + 13 = 0 0 + -1a = -9 + 13 -1a = -9 + 13 Combine like terms: -9 + 13 = 4 -1a = 4 Divide each side by '-1'. a = -4 Simplifying a = -4
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