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Simplifying (-3) + -1(-7) + 8 = a + -1d -3 + -1(-7) + 8 = a + -1d Multiply -1 * -7 -3 + 7 + 8 = a + -1d Combine like terms: -3 + 7 = 4 4 + 8 = a + -1d Combine like terms: 4 + 8 = 12 12 = a + -1d Solving 12 = a + -1d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 12 + -1a = a + -1a + -1d Combine like terms: a + -1a = 0 12 + -1a = 0 + -1d 12 + -1a = -1d Add '-12' to each side of the equation. 12 + -12 + -1a = -12 + -1d Combine like terms: 12 + -12 = 0 0 + -1a = -12 + -1d -1a = -12 + -1d Divide each side by '-1'. a = 12 + d Simplifying a = 12 + d
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