3(1.5p+9)-18=9(0.3p+2)

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Solution for 3(1.5p+9)-18=9(0.3p+2) equation:


Simplifying
3(1.5p + 9) + -18 = 9(0.3p + 2)

Reorder the terms:
3(9 + 1.5p) + -18 = 9(0.3p + 2)
(9 * 3 + 1.5p * 3) + -18 = 9(0.3p + 2)
(27 + 4.5p) + -18 = 9(0.3p + 2)

Reorder the terms:
27 + -18 + 4.5p = 9(0.3p + 2)

Combine like terms: 27 + -18 = 9
9 + 4.5p = 9(0.3p + 2)

Reorder the terms:
9 + 4.5p = 9(2 + 0.3p)
9 + 4.5p = (2 * 9 + 0.3p * 9)
9 + 4.5p = (18 + 2.7p)

Solving
9 + 4.5p = 18 + 2.7p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-2.7p' to each side of the equation.
9 + 4.5p + -2.7p = 18 + 2.7p + -2.7p

Combine like terms: 4.5p + -2.7p = 1.8p
9 + 1.8p = 18 + 2.7p + -2.7p

Combine like terms: 2.7p + -2.7p = 0.0
9 + 1.8p = 18 + 0.0
9 + 1.8p = 18

Add '-9' to each side of the equation.
9 + -9 + 1.8p = 18 + -9

Combine like terms: 9 + -9 = 0
0 + 1.8p = 18 + -9
1.8p = 18 + -9

Combine like terms: 18 + -9 = 9
1.8p = 9

Divide each side by '1.8'.
p = 5

Simplifying
p = 5

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