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Simplifying -100 = -3p + -7(t + -3p) Reorder the terms: -100 = -3p + -7(-3p + t) -100 = -3p + (-3p * -7 + t * -7) -100 = -3p + (21p + -7t) Combine like terms: -3p + 21p = 18p -100 = 18p + -7t Solving -100 = 18p + -7t Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -100 + -18p = 18p + -18p + -7t Combine like terms: 18p + -18p = 0 -100 + -18p = 0 + -7t -100 + -18p = -7t Add '100' to each side of the equation. -100 + 100 + -18p = 100 + -7t Combine like terms: -100 + 100 = 0 0 + -18p = 100 + -7t -18p = 100 + -7t Divide each side by '-18'. p = -5.555555556 + 0.3888888889t Simplifying p = -5.555555556 + 0.3888888889t
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