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Simplifying -29 + -4k = -9(8k + 7) Reorder the terms: -29 + -4k = -9(7 + 8k) -29 + -4k = (7 * -9 + 8k * -9) -29 + -4k = (-63 + -72k) Solving -29 + -4k = -63 + -72k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '72k' to each side of the equation. -29 + -4k + 72k = -63 + -72k + 72k Combine like terms: -4k + 72k = 68k -29 + 68k = -63 + -72k + 72k Combine like terms: -72k + 72k = 0 -29 + 68k = -63 + 0 -29 + 68k = -63 Add '29' to each side of the equation. -29 + 29 + 68k = -63 + 29 Combine like terms: -29 + 29 = 0 0 + 68k = -63 + 29 68k = -63 + 29 Combine like terms: -63 + 29 = -34 68k = -34 Divide each side by '68'. k = -0.5 Simplifying k = -0.5
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